As confirmed above there is no access to the lounge or any other showers on return to DUB. I spoke to a very helpful agent in the lounge on the way out and she confirmed there was no way to access the lounge on the return flight.
We actually arrived at T1 and followed a long and twisty route to get to immigration in T2.
As an aside the flights were great, my first transatlantic on EI, the food was the best I've had on a plane, by quite a way. I'm only comparing with BA CW and CX J but still a very pleasant surprise.
I plan to do a trip report but I guess I should first do the Hong Kong report from June which I still haven't got around to!